This disclosure relates generally to sensing systems, and more specifically to a self-calibrating resonator gyroscope.
There are a number different types of gyroscopes that are configured to calculate rotation about a sensitive (i.e., input) axis. One type of gyroscope is a Coriolis vibratory gyroscope (CVG). One example of a CVG is a tuning fork gyroscope in which two masses (e.g. tines) can vibrate in plane along a drive axis. In response to an applied angular rate about an input axis parallel to the tines of the tuning fork, Coriolis forces cause the tines to vibrate out of plane along a sense axis (e.g., 90° relative to a drive axis). The amplitude of the out-of-plane motion in open loop instruments or the force required to rebalance and null the out-of-plane motion in closed-loop instruments can correspond to a measure of the angular rate applied about the input axis. Another example of a CVG is a Resonator gyroscope in which a “wine glass” shaped resonator is caused to vibrate at a fundamental resonant frequency. In a fundamental or N=2 mode, the displacement of points on the vibrating resonator is in the form of a standing wave with antinodes and nodes that are separated by 45° in the circumferential direction. In force-rebalance operation, one of the antinodes can be maintained along a drive axis. In a resonator gyroscope, an angular rotation applied about the axis of symmetry of the resonator (e.g., input axis) can cause the standing wave to lag in angular displacement relative to the housing, which can thus be indicative of rotation of the resonator gyroscope about the sensitive axis.
One example includes a resonator gyroscope. The resonator gyroscope includes a sensing system comprising a plurality of electrodes arranged about a sensitive axis and configured to electrostatically force a resonator into a substantially periodic motion based on a plurality of forcer signals applied to the plurality of electrodes, and configured to provide an indication of rotation about a sensitive axis of the resonator gyroscope. The resonator gyroscope further includes a controller configured to generate the plurality of forcer signals to provide the substantially periodic motion of the resonator concurrently in each of a plurality of separate vibration pattern modes to measure the rotation of the resonator gyroscope about the sensitive axis in response to a plurality of pickoff signals associated with the substantially periodic motion.
Another example includes a method for controlling a resonator gyroscope. The method includes generating a first set of forcer signals having a first frequency and generating a second set of forcer signals having a second frequency that is greater than the first frequency. The method also includes providing each of the first and second sets of forcer signals concurrently to at least a portion of a plurality of electrodes associated with the resonator gyroscope. The plurality of electrodes can be arranged about the sensitive axis to provide a substantially periodic motion of a resonator concurrently in each of a first vibration pattern mode and a second vibration pattern mode, respectively. The method further includes measuring pickoff signals associated with at least a portion of the plurality of electrodes in response to the substantially periodic motion of the resonator to measure rotation about the sensitive axis.
Another example includes a multi-axis gyroscope system. The system includes a first resonator gyroscope configured to measure rotation of the multi-axis gyroscope system about an X-axis, a second resonator gyroscope configured to measure rotation of the multi-axis gyroscope system about a Y-axis, and a third resonator gyroscope configured to measure rotation of the multi-axis gyroscope system about a Z-axis. Each of the first, second, and third resonator gyroscopes includes a sensing system comprising a plurality of electrodes arranged about the respective one of the X, Y, and Z axes and configured to electrostatically force a resonator into a substantially periodic motion based on a plurality of forcer signals applied to the plurality of electrodes, and configured to provide an indication of rotation about the respective one of the X, Y, and Z axes of the respective one of the first, second, and third resonator gyroscopes. Each of the first, second, and third resonator gyroscopes also includes a controller configured to generate the plurality of forcer signals to provide the substantially periodic motion of the resonator concurrently in each of a plurality of separate vibration pattern modes to measure the rotation of the respective one of the first, second, and third resonator gyroscopes about the respective one of the X, Y, and Z axes in response to a plurality of pickoff signals associated with the substantially periodic motion.
This disclosure relates generally to sensing systems, and specifically to a self-calibrating resonator gyroscope. A resonator gyroscope can include a sensing system and a controller. The sensing system includes a plurality of electrodes (e.g., eight electrodes) arranged about a sensitive axis. The electrodes are configured to electrostatically force a resonator (e.g., a hemispherical resonator) into a substantially periodic motion based on the application of the forcer signals to the electrodes. The electrodes can also be configured to provide an indication of rotation about a sensitive axis of the resonator gyroscope based on pickoff signals. The controller can generate the forcer signals to provide the substantially periodic motion of the resonator concurrently in each of a plurality of separate vibration pattern modes. The vibration pattern modes can correspond to, for example, an N=2 vibration pattern mode and an N=3 vibration pattern mode. As an example, the forcer signals can be generated to have separate frequencies, such that the vibration pattern modes do not interfere with each other with respect to the forcer signals and the associated pickoff signals.
Based on the operation of the forcer signals to provide the substantially periodic motion of the resonator in each of the vibration pattern modes concurrently, the resonator gyroscope can provide efficient and accurate operation. As a first example, the resonator gyroscope can operate to measure rotation of the resonator gyroscope about the sensitive axis via first pickoff signals associated with a first vibration pattern mode while concurrently being calibrated (e.g., via a calibration signal) via second pickoff signals associated with the second vibration pattern mode. As another example, the resonator gyroscope can operate to measure rotation of the resonator gyroscope about the sensitive axis in a force-rebalance manner via the first pickoff signals associated with the first vibration pattern mode while concurrently measuring rotation of the resonator gyroscope about the sensitive axis in a whole-angle manner via the second pickoff signals associated with the second vibration pattern mode. As yet another example, the resonator gyroscope can be calibrated via the first pickoff signals associated with the first vibration pattern mode while concurrently being calibrated via the second pickoff signals associated with the second vibration pattern mode. Therefore, the resonator gyroscope can operate in a variety of ways based on operating concurrently in separate vibration pattern modes.
The sensing system 12 includes a resonator 16 that can be arranged as a deformable material having an elastic property and being provided in one of a variety of different forms. For example, the resonator 16 can be an elastic hemisphere, an elastic ring, a disk, or any of a variety of other types of resonators that can provide periodic motion in an axi-symmetric manner with respect to the sensitive axis. The sensing system 12 also includes a set of electrodes 18 that are arranged with respect to the resonator 16. For example, the electrodes 18 can be arranged in an annular arrangement between the sensitive axis and the resonator 16, such that the resonator 16 substantially surrounds the electrodes 18. The electrodes 18 are configured to generate electrostatic force in response to forcer signals FRC provided by the controller 14 to provide deformation or motion of the resonator 16, such as to provide a periodic motion of the resonator 16 in a plurality of vibration pattern modes concurrently.
For example, the vibration pattern modes can include an N=2 vibration pattern mode and an N=3 vibration pattern mode. As described herein, the term “N” describes half the number of antinodes of the vibration pattern mode. Therefore, the N=2 vibration pattern mode describes four antinodes of the resonator 16 along four substantially equally angularly-separated principle axes, and the N=3 vibration pattern mode provides for six antinodes of the resonator 16 along six substantially equally angularly-separated principle axes. Alternatively, other vibration pattern modes (e.g., N=1, 4, 5, . . . ) can be implemented. As an example, the vibration pattern modes can be provided via the forcer signals FRC at different frequencies based on the frequencies of the forcer signals FRC. As an example, the frequencies of each of the separate sets of forcer signals can have a difference that is greater than a desired measurement bandwidth of the resonator gyroscope 10. Therefore, perturbations that affect the pickoff signals of only one of the vibration pattern modes does not affect the pickoff signals associated with other vibration pattern mode(s) across the frequency response of the associated pickoff signals.
As an example, the electrodes 18 can be implemented to provide force-rebalance of the angular displacement of the standing wave on the resonator 16 and concurrently provide nulling of the quadrature effects that can degrade or otherwise affect the standing wave. In addition, the electrodes 18 can include and/or can be implemented as pickoff electrodes that can provide pickoff signals PO corresponding to the motion of the resonator 16 to measure the rotation of the sensing system 12 about the sensitive axis, demonstrated in the example of
The controller 14 includes a processor 22 and a signal generator 24. The signal generator 24 is configured to generate the forcer signals FRC that are provided to the electrodes 18 based on the pickoff signals PO that are provided to the sensing system 12 (e.g., via the signal generator 24) for capacitive measurement of the of the deformation of the resonator 16 with respect to the electrodes 18 via the processor 22. As an example, one set of the forcer signals FRC can be generated by the signal generator 24 based on a set of equations, such as described in U.S. patent application Ser. No. 15/296,774 (Attorney Docket No. NG(NSD)-025345), which is incorporated herein by reference in its entirety. Therefore, the forcer signals FRC can be generated to provide a non-integer ratio between the number of electrodes 18 and the vibration pattern mode, such as based on implementing an N=3 vibration pattern mode with eight electrodes 18. In addition, the controller 14 includes a calibration component 26 that is configured to generate a calibration signal CAL. As an example, the calibration signal CAL can correspond to any of a variety of methods of self-calibration of a resonator gyroscope, such as a predetermined signal injected into the force rebalance signals FRC to implement bias and/or scale-factor calibration, mode-reversal, or other types of self-calibration implementations, such as described in U.S. patent application Ser. No. 15/256,168 (Attorney Docket No. NG(NSD)-025094), which is incorporated herein by reference in its entirety.
As an example, the controller 14 can be configured to measure the rotation ROT of the resonator gyroscope 10 about the sensitive axis in a force-rebalance manner and/or a whole-angle manner. For example, the forcer signals FRC can be provided to a first portion of the electrodes 18 to provide the periodic motion of the resonator 16 in response to one or more of the pickoff signals PO. The pickoff signals PO can be provided to the processor 22 that generates the forcer signals FRC, such as based on disparate phases of respective resultant electrostatic forces provided via the electrodes 18. Thus, the forcer signals FRC can control the amplitudes of the electrostatic forces and provide a measure of the rate of angular rotation ROT of the sensing system 12 about the sensitive axis (e.g., in the example of force-rebalance operation), and also control quadrature effects. Thus, the controller 14 can provide the measurement of the angular rate of rotation ROT about the input axis as an output signal ROT based on the pickoff signals.
Based on the operation of the forcer signals FRC to provide the substantially periodic motion of the resonator 16 in each of the vibration pattern modes concurrently, the resonator gyroscope 10 can provide efficient and accurate operation. As an example, the controller 14 can measure rotation ROT of the resonator gyroscope 10 about the sensitive axis via first pickoff signals PO1 associated with a first vibration pattern mode (e.g., N=2) while concurrently being calibrated (e.g., via the calibration signal CAL that can control or dictate one of a variety of different calibration methods) via second pickoff signals PO2 associated with the second vibration pattern mode (e.g., N=3). For example, the controller 14 can be configured to measure rotation ROT of the resonator gyroscope 10 about the sensitive axis via the first pickoff signals PO1 associated with a first vibration pattern mode and concurrently calibrate the resonator gyroscope 10 via the second pickoff signals PO2 associated with the second vibration pattern mode during a first time duration. The controller 14 can thus calibrate the resonator gyroscope 10 via the first pickoff signals PO1 associated with the first vibration pattern mode and concurrently measure rotation ROT of the resonator gyroscope 10 about the sensitive axis via the second pickoff signals PO2 associated with second vibration pattern mode during a second time duration. Accordingly, the controller 14 can substantially continuously alternate between the first time duration and the second time duration, such that the resonator gyroscope 10 can be substantially continuously calibrated and can continue to measure the rotation ROT of the resonator gyroscope 10 about the sensitive axis in an uninterrupted manner.
As a second example, the controller 14 can operate to obtain a first measurement of rotation ROT of the resonator gyroscope 10 about the sensitive axis in a force-rebalance manner via the first pickoff signals PO1 associated with the first vibration pattern mode while concurrently obtaining a second measurement of rotation ROT of the resonator gyroscope about the sensitive axis in a whole-angle manner via the second pickoff signals PO2 associated with the second vibration pattern mode. The force-rebalance manner can thus correspond to one manner of calculating rotation ROT of the resonator gyroscope 10 about the sensitive axis, while the whole-angle manner (e.g., integration manner) can correspond to another different manner of calculating rotation ROT of the resonator gyroscope 10 about the sensitive axis. As an example, the processor 22 can be configured to implement an algorithm that is configured to combine the first and second measurements to measure the rotation ROT of the resonator gyroscope 10 about the sensitive axis. Therefore, the processor 22 can generate a single measurement of the rotation ROT of the resonator gyroscope 10 about the sensitive axis based on the first and second measurements of the rotation ROT of the resonator gyroscope 10 about the sensitive axis. For example, the algorithm can be configured to provide integration of the first and second measurements, statistical analysis/comparison of the first and second measurements, or any other ways to combine the first and second measurements to obtain a single measurement of the rotation ROT of the resonator gyroscope 10 about the sensitive axis. Such redundant measurement of rotation ROT can thus provide a more accurate and/or improved performance of the measurement of the rotation ROT of the resonator gyroscope 10 about the sensitive axis, and/or can provide improved stability with respect to bias and/or scale-factor errors.
As yet another example, the controller 14 can be configured to obtain a calibration of the resonator gyroscope 10 via the first pickoff signals PO1 associated with the first vibration pattern mode while concurrently obtaining a calibration of the resonator gyroscope 10 via the second pickoff signals PO2 associated with the second vibration pattern mode. For example, the calibration component 26 can be configured to provide the same or different calibration methodologies (e.g., self-calibration, mode reversal, signal-injection, or other calibration techniques) to calibrate the resonator gyroscope 10 in each of the first and second vibration pattern modes (e.g., via the signal(s) CAL). Furthermore, the controller 14 can be configured to implement any combination of and/or alternate between the measurement and calibration procedures described herein. For example, the controller 14 can provide any combination of measuring rotation ROT of the resonator gyroscope 10 about the sensitive axis in each of the first and second vibration pattern modes, measuring the rotation ROT of the resonator gyroscope 10 about the sensitive axis in one of the vibration pattern modes while concurrently calibrating the resonator gyroscope 10 in another of the vibration pattern modes, and calibrating the resonator gyroscope 10 in both of the vibration pattern modes. Accordingly, the resonator gyroscope 10 can operate in a variety of ways based on operating concurrently in separate vibration pattern modes.
The sensing system 50 includes a resonator 52 that substantially surrounds a plurality of electrodes. As an example, the resonator 52 can be configured as an elastic hemispherical shell, but could have other geometric arrangements (e.g., an elastic ring). The plurality of electrodes includes a first electrode 54, a second electrode 56, a third electrode 58, a fourth electrode 60, a fifth electrode 62, a sixth electrode 64, a seventh electrode 66, and an eighth electrode 68. The electrodes 54, 56, 58, 60, 62, 64, 66, and 68 are demonstrated as arranged in an oppositely-disposed symmetrical annular arrangement about a sensitive axis 70, demonstrated as perpendicular to the plane of the page of
In the example of
In response to the application of the signals ε provided as forcer voltages, the electrodes 54, 56, 58, 60, 62, 64, 66, and 68 can provide an electrostatic force that acts upon the resonator 52. In response, the resonator 52 is electrostatically attracted to the electrodes 54, 56, 58, 60, 62, 64, 66, and 68 based on a relative phase of the forcer voltages ε, and thus a relative phase of the electrostatic forces. The forcer voltages ε can, for example, have two separate sets of signals modulated together and applied at separate frequencies (e.g., across one or more orders of magnitude) and concurrently applied to the electrodes 54, 56, 58, 60, 62, 64, 66, and 68. As a result, the resonator 52 is deformed in each of two or more vibration pattern modes. For example, a first set of forcer voltages ε can provide an N=2 vibration pattern mode at a first frequency, and a second set of forcer voltages ε can provide an N=3 vibration pattern mode. The state of the resonator 52 in response to the application of the forcer voltages ε is demonstrated in the examples of
The three-axis gyroscope system 200 includes an X-axis gyroscope system 202, a Y-axis gyroscope system 204, and a Z-axis gyroscope system 206. As an example, each of the X-axis, Y-axis, and Z-axis gyroscope systems 202, 204, and 206 can be configured substantially similar to the resonator gyroscope 10 in the example of
In the example of
Each of the X-axis, Y-axis, and Z-axis resonator gyroscopes 202, 204, and 206 can include electrodes that are configured to generate electrostatic force in response to forcer signals (e.g., the forcer signals FRC) provided by respective controllers to provide deformation or motion of respective resonators, such as to provide a periodic motion of each of the respective resonators in a plurality of vibration pattern modes concurrently. Accordingly, the three-axis gyroscope system 200 can provide the rotation measurements ROTX, ROTY, and ROTZ about all three of the sensitive axes, and can be calibrated in each of the three orthogonal axes substantially concurrently to provide the rotation measurements ROTX, ROTY, and ROTZ about all three of the sensitive axes in a more accurate and uninterrupted manner, similar to as described previously. Additionally or alternatively, each of the X-axis, Y-axis, and Z-axis gyroscope systems 202, 204, and 206 can provide redundant calibrations of the X-axis, Y-axis, and Z-axis gyroscope systems 202, 204, and 206 or the rotation measurements ROTX, ROTY, and ROTZ about the respective X-axis, Y-axis, and Z-axis gyroscope systems 202, 204, and 206 in a redundant manner, similar to as described previously. Accordingly, the three-axis gyroscope system 200 can be implemented instead of typical three-axis gyroscope systems that require four or six separate gyroscopes to provide calibration and measurement in all three respective axes.
In view of the foregoing structural and functional features described above, a method in accordance with various aspects of the present disclosure will be better appreciated with reference to
What have been described above are examples of the disclosure. It is, of course, not possible to describe every conceivable combination of components or method for purposes of describing the disclosure, but one of ordinary skill in the art will recognize that many further combinations and permutations of the disclosure are possible. Accordingly, the disclosure is intended to embrace all such alterations, modifications, and variations that fall within the scope of this application, including the appended claims.